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Show that the General Solution of the Differential Equation Dy/Dx + (Y^2 + Y +1)/(X^2 + X + 1) = 0 Is Given by (X + Y + 1) = A (1 – X – Y – 2xy), Where A Is Parameter - CBSE (Science) Class 12 - Mathematics

ConceptGeneral and Particular Solutions of a Differential Equation

Question

Show that the general solution of the differential equation  dy/dx + (y^2 + y +1)/(x^2 + x + 1) = 0 is given by (x + + 1) = (1 – – y – 2xy), where is parameter

Solution

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NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 9: Differential Equations
Q: 7 | Page no. 420

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Solution Show that the General Solution of the Differential Equation Dy/Dx + (Y^2 + Y +1)/(X^2 + X + 1) = 0 Is Given by (X + Y + 1) = A (1 – X – Y – 2xy), Where A Is Parameter Concept: General and Particular Solutions of a Differential Equation.
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